GCF of 8404/130, 8532/8528
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8404/130, 8532/8528 i.e 4/42640 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8404/130, 8532/8528.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
What is the GCF of 8404/130,8532/8528?
Given fractions are 8404/130,8532/8528
To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by
GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators
In the fractions 8404/130,8532/8528, numerators are 8404,8532
Denominators are 130,8528
The GCF of 8404,8532 is 4 .
LCM of 130,8528 is 42640.
The greatest common factor of 8404/130,8532/8528 = [GCF of 8404,8532]/[LCM of 130,8528]= 4/42640
Therefore, the GCF of 8404/130,8532/8528 is 4/42640.
To find the highest common factor of 8404,8532, we have to find the factors of both numbers and list the highest common factor.
The factors of 8404 are 1, 2, 4, 11, 22, 44, 191, 382, 764, 2101, 4202, 8404
The factors of 8532 are 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 79, 108, 158, 237, 316, 474, 711, 948, 1422, 2133, 2844, 4266, 8532
The HCF of 8404,8532 is 4.
Lets's calculate GCF of 8404,8532
| 2 | 8404, 8532 |
| 2 | 4202, 4266 |
| 2101, 2133 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 8404,8532 By Matching Biggest Common Factor Method
Now, list down the factors of 8404
:1,2,4,11,22,44,191,382,764,2101,4202,8404
Now, list down the factors of 8532
:1,2,3,4,6,9,12,18,27,36,54,79,108,158,237,316,474,711,948,1422,2133,2844,4266,8532
Greatest Common Factor
We found the factors 8404,8532 . The biggest common factor number is the GCF number.
So the greatest common factor 8404,8532 is 4.
Lets's calculate LCM of 130,8528
| 2 | 130, 8528 |
| 13 | 65, 4264 |
| 5, 328 |
∴ So the LCM of the given numbers is 2 x 13 x 5 x 328 = 42640
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/42640
Therefore, the GCF of Fractions 8404/130,8532/8528 is 4/42640
Least Common Multiple of 130,8528 with GCF Formula
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 130,8528 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(130,8528) = 26
common factors(in case of two or more numbers have common factors) = 1
GCF(130,8528) x common factors =26 x 1 = 26
LCM(130,8528) = ( 130 × 8528 ) / 26
LCM(130,8528) = 1108640 / 26
LCM(130,8528) = 42640
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FAQs on GCF of Fractions of 8404/130, 8532/8528
1. What is the HCF of 8404,8532?
The HCF of 8404,8532 is 4
2. What is the GCF of a fraction?
The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.
3. How to find GCF in Fractions?
Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.
4. What is the GCF of Fractions for 8404/130, 8532/8528?
Answer: GCF of Numerators as per given numbers 8404/130, 8532/8528 is
GCF of Numerators i.e. for 8404,8532 is 4
LCM of denominators i.e. for 130,8528 is 42640.
Thus, GCF of Fractions is 4/42640.Finally, GCF of Fractions for 8404/130, 8532/8528 is 4/42640.